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Finding the Fourth Proportional to 265,143.82, 365,906.10 and 144,292.77

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Solution

The fourth proportional to 265,143.82, 365,906.10 and 144,292.77 is: 199,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,143.82 : 365,906.10 = 144,292.77 : x
  2. Step 2: Convert to fraction form
    265,143.82/365,906.10 = 144,292.77/x
  3. Step 3: Cross multiply
    265,143.82x = 365,906.10 × 144,292.77
  4. Step 4: Simplify right side
    265,143.82x = 52,797,602,899.37
  5. Step 5: Solve for x
    x = 52,797,602,899.37/265,143.82
  6. Step 6: Final answer
    x = 199,128.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.